406875 has 40 divisors (see below), whose sum is σ = 799744. Its totient is φ = 180000.

The previous prime is 406873. The next prime is 406883. The reversal of 406875 is 578604.

It is a happy number.

It is not a de Polignac number, because 406875 - 2¹ = 406873 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406875.

It is not an unprimeable number, because it can be changed into a prime (406873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13110 + ... + 13140.

2⁴⁰⁶⁸⁷⁵ is an apocalyptic number.

406875 is a deficient number, since it is larger than the sum of its proper divisors (392869).

406875 is an equidigital number, since it uses as much as digits as its factorization.

406875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 406875 is about 637.8675411087. The cubic root of 406875 is about 74.1003629683.

Adding to 406875 its product of nonzero digits (6720), we get a triangular number (413595 = T₉₀₉).

The spelling of 406875 in words is "four hundred six thousand, eight hundred seventy-five".